Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #16810731 | C2 | semidirect |
| 4. #16810446 | C2 | semidirect |
| 5. #16810440 | C2 | semidirect |
| 7. C53×#347 | C2 | semidirect |
| 12. Dic424 | C4 | semidirect |
| 13. #13133162 | C4 | semidirect |
| 71. #347 | D53 | semidirect |
| 72. C53 | #2180 | semidirect |